Got around 23 questions for an algebra assignment. I will attach the pdf with the questions below.

Got around 23 questions for an algebra assignment. I will attach the pdf with the questions below.
Project Chapter 2, sections 1 -5 Due June 30 th, 2022 Name_________________________ There are 23 questions, and you must do 22 of them for full credit on the project. I recommend attempting all of them, as extra credi t will be given if you do all 23 questions. Each question is worth 5 points for a total of 110 points, with 5 points available for extra credit . You are to work on the proj ects independently. You may turn in this project during our class meetings or submit in the D2L shell a s one c omplete pdf by the due date. You may hand write or type the project . Please show all work for full or partial credit, using the methods discussed in class. Each question will be graded based on the following rubric. 5 Points A five -point response answers the question correctly.  demonstrates a thorough understanding of the mathematical topics  may contain minor errors that do not detract from the de monstration of understanding  indicates that the student has completed the task correctly, using mathematically sound procedures, all required work is provided 3-4 Points A three -four -point response is partially correct.  demonstrates partial understanding of the mathematical topics and/or procedures embodied in the task  addresses most aspects of the task, using mathematically sound procedures  may contain errors and/or an incorrect solution but provides complete procedures, reasoning, and/or explanations, all required work is provided 1-2 Point A one -two -point response is incomplete and exhibits flaws but is not completely incorrect.  demonstrates only a limited understanding of the mathematical topics and/or procedures embodied in the task  may address some e lements of the task correctly but reaches an inadequate solution and/or provides reasoning that is faulty or incomplete  exhibits multiple flaws related to misunderstanding of important aspects of the task, misuse of mathematical procedures, or faulty mathe matical reasoning  may contain correct numerical answer(s) but required work is not provided 0 Points A zero -point response is incorrect.  insufficient in demonstrating an understanding of the mathematical topics embodied in the task.  the required work is not provided  may contain answers that are incorrect, irrelevant, incoherent, or are correct but arrived at using an obviously incorrect procedure. Project Chapter 2, sections 1 -5, page 2 1. For each graph, determine whether y is a function of x. a. b. 2. Determine whether each relation is a function. a. {(1,5),(2,2),(3,7),(4,4),(5,9)} b. {(4,−4),(1,−1),(0,0),(1,1),(4,4)} 3. Determine whether each equation defines y as a function of x. a. = 2+ 5 b. 2= − 3 4. Determine the domain and range of the following relation. Write both in interval notation. = 2− 2 For questions 5 and 6, let ()= − + , ()= − , and ()= −. 5. Find ℎ(2) 6. Find (−2)− (1) Project Chapter 2, se ctions 1 -5, page 3 7. Find the difference quotient for the function ()= 32− 1 For questions 8 -11, (1) Complete the table listing ordered pairs that satisfy the equation. (2) Then graph the equation using the ordered pairs as points. (3) Determine the domain and range, and whether y is a function of x. Also, if it is a function, state the intervals on which the graph is increasing, decreasing, or constant, if any. 8-9. (combined 10 points) = 2− 2 −2 −1 0 1 2 10 -11. (combined 10 points) = ||+ 2 −2 −1 0 1 2 Domain _______________ Range _________________ Is y a function of x? ______ State the intervals on which the graph is increasing, decreasing, and constant, if any. Increasing ______________ Decreasing _____________ Constant _______________ Domain _______________ Range _________________ Is y a function of x? ______ State the intervals on which the graph is increasing, decreasing, and co nstant, if any. Increasing ______________ Decreasing _____________ Constant _______________ Project Chapter 2, sections 1 -5, page 4 12 -13 . (combined 10 points) TRUE or FALSE: Determine if the following statements are true or false. All of the f unctions b elow are of the form = (− ℎ)2+ , and belong to the square or quadratic family. The graph of each is a parabola , and all of them are transformations of the function = 2 a) The graph of = 2+ 5 is a translation of 5 units upward of the graph of = 2. b) The graph of = 3 42 is obtained from stretching the graph of = 2. c) The graph of = 3 42 is obtained from shrinking the graph of = 2. d) The graph of = −2 is a reflection in the x -axis of the gr aph of = 2. e) The graph of = 42 is obtained from stretching the graph of = 2. f) The graph of = (+ 7)2 is a translation of 7 units to the right of the graph of = 2. g) The graph of = (+ 7)2 is a translation of 7 units to the left of the graph of = 2. h) The graph of = 2− 8 is a translation of 8 units downward of the graph of = 2. i) The graph of = 2− 8 is a translation of 8 units upward of the graph of = 2 14 . Determine algebraically (by finding (−)) whether the function is even, odd, or neither. Discuss the symmetry of the function. ()= 4+ 52− 1 15. Determine algebraically (by finding (−)) whether the function is even, odd, or neither. Discuss the symmetry of the f unction. ()= 3+ 42 Project Chapter 2, sections 1 -5, page 5 For questions 16 -21 , let ()= − + , ()= − , and ()= −. 16 . Find (+ )() 17 . Find (− ℎ)(4) 18 . Find (∙)(−1) 19 . Find (/)(3) 20 . Find (()) 21 . Find ((−2)) Project Chapter 2, sections 1 -5, page 6 22 . Determine whether each function is one -to-one. a. {(−3,3),(−2,2),(−1,1),(0,0),(1,1),(2,2),(3,3)} b. {(−3,−3),(−2,−2),(−1,−1),(0,0),(1,1),(2,2),(3,3)} 23 . Find the inverse of the function using the procedure for the switch -and -solve method on pg 241. ()= √− 3+ 5